Properties of Exponents Review 2.0 (8-1)

Properties of Exponents Review 2.0 (8-1)

PreAlgebra

October 19. 2020

Destination:

Standard: 8.EE.A.1

Performance Based Objectives:

SW know and apply the properties of integer exponents IOT generateequivalent numerical expressions. For example, 3² × 3^-5 = 3^-3 = 1/3³ = 1/27.

Daily Learning Target:

SWBAT apply and use their knowledge about the Properties of Integer Exponents to solve problems, creating multiple equivalents.

Fill in the Blanks

 Please write at least 2 equivalent expressions for   $\left(-2\right)^4$  

Product Property Review:

We should always add exponents, when are multiplying with the same base.

Multiple Choice

When multiplying items that have the same base, keep the base and add the exponents

• Product Property
• Quotient Property
• Power of Products Property
• Power Property

Multiple Choice

• 5⁸

• 5⁶

• 5²

• 1

Quotient Property Review:

We should always subtract exponents, when dividing with the same base.

Multiple Choice

When dividing items that have the same base, keep the base and subtract the exponents

• Quotient Property
• Power of Quotients Property
• Exponents
• Index

Multiple Choice

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰

Power of a Power Property

We should always multiply exponents, when are powers are being raised to another power with the same base.

Multiple Choice

When you see a power raised to another power, keep the base and multiply the exponents

• Power Property
• Power of Products Property
• Power of Quotients Property
• Exponent

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

Power of a Product Property

When you have multiple bases being raised to an power, you distribute that power to every base and its exponent.

Multiple Choice

To find the power of a product, distribute the exponent on the outside of the parenthesis

• Power of Products Property
• Power Property
• Power of Quotients Property
• Product Property

Fill in the Blanks

(3 x 6)⁴

Fill in the Blanks

(xy)⁵

Zero Property

Anything raised to the zero power =1.

Multiple Choice

For any base ( no matter if it's a variable or number) that has an exponent of zero, the answer will be equal to one.

• Negative Exponent Property
• Zero Exponent Property
• Positive Exponent Property
• Invisible Exponent Property

Multiple Choice

If a base ( no matter if it is a variable or number) does not have an exponent, it is understood to be what number?

• 1
• 2
• -1
• 0

Multiple Choice

Simplify the expression.  $\left(j^9\right)^0$  

•  $1$  
  

•  $0$  
  

•  $j$  
  

•  $j^9$  
  

Eagle Flight Landing..

Please utilize your notes.

Multiple Select

 $Please\ select\ all\ \ equivalent\ \exp ressions\ for\ \frac{6^9}{6^3}.$  

• 2

•  $6^{\left(9-3\right)}$  

•  $6^{\left(9+3\right)}$  

•  $6^6$  

•  $6^{12}$